Seems unlikely that it'll be in our lifetime. Besides, a lot of the city's planning and structural codes have been in lieu of a potentially huge earthquake. If it happened, the damage would be fairly significant (I'd guess most of the significant damage would be to things like water mains and power lines), but I don't think you'd see many toppled buildings and whatnot. The US being a fairly new country bodes well for the quality of structures they put up in comparison to countries that get decimated by earthquakes... no disrespect to any of these other countries, of course.
The quality of structures put up in the US? I think you forgot about San Francisco in 1989:
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Those are just a couple I found in about 30 seconds.
Pics of the 94 Northridge quake aftermath (of which I "participated")
This was a 6.8 quake. In SoCal there is a premium placed on earthquake damage prevention during the construction process. Utah has nowhere near the building codes regarding earthquakes. If a similarly sized quake were to hit anywhere between Ogden to Provo the structural devastation would be astounding.